Find magnitude and direction of these vectors

• chocolatelover
In summary, the magnitude of vector A-B depends on the angle between the two vectors. If they are in the same line, the magnitude would be 0. If they are at right angles, the magnitude would be 4.2m.
chocolatelover

Homework Statement

Find the magnitude and direction for the vector A-B. Vector A=3m, Vector B=3m

The Attempt at a Solution

Wouldn't it just be 0?
3-3=0

Thank you very much

It depends on the angle between them.

Thank you very much

If the only vectors are A=3.00m and B=3.00, vector -b would be -3.00, right? So wouldn't the distance be 0m? Or is this totally wrong?

Thank you

A vector has magnitude and direction, to talk about a vector of just 3m is meaningless.
If they were in the same line then A - B would be zero.
If they were at right angles the distance would be 4.2m

Thank you very much

Regards

What does "magnitude" mean when talking about vectors?

The magnitude of a vector is the length or size of the vector. It is a scalar quantity, meaning it only has a numerical value and no direction.

How is the magnitude of a vector calculated?

The magnitude of a vector can be calculated using the Pythagorean theorem, which states that the magnitude is equal to the square root of the sum of the squared components of the vector. It can also be calculated using trigonometric functions.

What is the difference between magnitude and direction of a vector?

The magnitude of a vector refers to its size, while the direction refers to the angle at which the vector is pointing. Both are important in fully describing a vector.

What is the unit of measurement for vector magnitude?

The unit of measurement for vector magnitude depends on the type of vector being measured. For example, displacement vectors may have units of meters, while force vectors may have units of Newtons.

How do you find the direction of a vector?

The direction of a vector can be found by using trigonometric functions to calculate the angle between the vector and a reference axis, typically the positive x-axis. This direction is often given in degrees or radians.

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